3666959493120 has 1536 divisors, whose sum is σ = 16960140288000. Its totient is φ = 728739348480.

The previous prime is 3666959493091. The next prime is 3666959493133. The reversal of 3666959493120 is 213949596663.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 489642336 + ... + 489649824.

It is an arithmetic number, because the mean of its divisors is an integer number (11041758000).

Almost surely, 2^{3666959493120} is an apocalyptic number.

3666959493120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666959493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480070144000).

3666959493120 is an abundant number, since it is smaller than the sum of its proper divisors (13293180794880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3666959493120 is a wasteful number, since it uses less digits than its factorization.

3666959493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 3666959493120 in words is "three trillion, six hundred sixty-six billion, nine hundred fifty-nine million, four hundred ninety-three thousand, one hundred twenty".